What is the Greatest Common Factor of 66928 and 66944?

Greatest common factor (GCF) of 66928 and 66944 is 16.

GCF(66928,66944) = 16

We will now calculate the prime factors of 66928 and 66944, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66928 and 66944.

How to find the GCF of 66928 and 66944?

We will first find the prime factorization of 66928 and 66944. After we will calculate the factors of 66928 and 66944 and find the biggest common factor number .

Step-1: Prime Factorization of 66928

Prime factors of 66928 are 2, 47, 89. Prime factorization of 66928 in exponential form is:

66928 = 2⁴ × 47¹ × 89¹

Step-2: Prime Factorization of 66944

Prime factors of 66944 are 2, 523. Prime factorization of 66944 in exponential form is:

66944 = 2⁷ × 523¹

Step-3: Factors of 66928

List of positive integer factors of 66928 that divides 66928 without a remainder.

1, 2, 4, 8, 16, 47, 89, 94, 178, 188, 356, 376, 712, 752, 1424, 4183, 8366, 16732, 33464

Step-4: Factors of 66944

List of positive integer factors of 66944 that divides 66928 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 523, 1046, 2092, 4184, 8368, 16736, 33472

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66928 and 66944. The biggest common factor number is the GCF number.
So the greatest common factor 66928 and 66944 is 16.

Also check out the Least Common Multiple of 66928 and 66944